Table for CAN(5,k,8) for k up to 10000

Last Updated Fri Mar 27 17:29:14 MST 2015

Locate the k in the first column that is at least as large as the number of factors in which you are interested. Then let N be the number of rows (tests) given in the second column. A CA(N;5,k,8) exists according to a construction in the reference (cryptically) given in the third column. The accompanying graph plots N vertically against log k (base 10).

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k N Source 9 32768 orthogonal array 10 53681 orthogonal array fuse postop NCK 11 82350 Add 1 factors postop NCK 12 98000 perfect hash family3,12,9 postop NCK 13 117863 Martirosyan-TVT postop NCK 14 118168 Martirosyan-TVT postop NCK 15 118193 Martirosyan-TVT postop NCK 16 118715 Martirosyan-TVT postop NCK 17 118772 Martirosyan-TVT postop NCK 18 125872 Martirosyan-TVT postop NCK 19 161588 Martirosyan-TVT variant postop NCK 20 174238 Martirosyan-TVT postop NCK 21 231134 Add 1 factors 22 266904 Add 8 factors 23 272305 Add 8 factors 24 272827 Add 8 factors 25 275572 Add 8 factors 26 283568 Add 8 factors 36 294903 Power N-CT9^2Tlev 81 327670 Power N-CT9^2 82 409150 Add 1 factors 83 462910 Add 2 factors 84 491582 Add 3 factors 89 520254 Add 8 factors 90 601734 Add 1 factors 91 660870 Add 8 factors 92 689542 Add 8 factors 128 705350 Martirosyan-TVT 144 711622 Martirosyan-TVT 146 723144 Martirosyan-TVT 147 774984 Martirosyan-TVT variant 161 826824 Martirosyan-TVT variant 162 844284 Martirosyan-TVT 163 931196 Add 1 factors 164 957427 Martirosyan-TVT 166 1011187 Martirosyan-TVT 168 1039859 Martirosyan-TVT 169 1044104 Add 8 factors 170 1061564 Add 8 factors 178 1068531 Martirosyan-TVT 179 1150011 Martirosyan-TVT variant 180 1152921 Martirosyan-TVT 181 1239833 Add 1 factors 182 1244059 Martirosyan-TVT 190 1251553 Power N-CT19^2T3S9 201 1251610 Power N-CT19^2T2S9 216 1258710 Power N-CT19^2Arc(10) 226 1294426 Power N-CT19^2Arc(9) 240 1305332 Power CT16^2T1 256 1305854 Power CT16^2 272 1306424 Power CT17^2T1 289 1306481 Power CT17^2 290 1384581 Power CT17^2+1 292 1427208 Martirosyan-TVT 294 1479048 Martirosyan-TVT 307 1508722 Power N-CT19^2Arc(3) 309 1530888 Martirosyan-TVT variant 313 1533992 Martirosyan-TVT variant 320 1540200 Martirosyan-TVT 324 1544438 Power N-CT19^2T1T1 342 1580154 Power N-CT19^2T1 361 1615870 Power N-CT19^2 362 1742370 Power N-CT19^2+1 363 1824134 Add 2 factors 364 1852806 Add 3 factors 369 1881478 Add 8 factors 370 1995454 Add 9 factors 380 2009065 Martirosyan-TVT 388 2009122 Martirosyan-TVT 402 2011937 Martirosyan-Colbourn 432 2019037 Martirosyan-Colbourn 452 2054753 Martirosyan-Colbourn 480 2065659 Martirosyan-Colbourn 512 2066181 Martirosyan-Colbourn 544 2066751 Martirosyan-Colbourn 576 2066808 Martirosyan-Colbourn 578 2087591 Martirosyan-Colbourn 580 2165691 Martirosyan-Colbourn 584 2208318 Martirosyan-Colbourn 588 2260158 Martirosyan-Colbourn 614 2289832 Martirosyan-Colbourn 618 2311998 Martirosyan-Colbourn 626 2315102 Martirosyan-Colbourn 640 2321310 Martirosyan-Colbourn 648 2325548 Martirosyan-Colbourn 684 2387080 Martirosyan-Colbourn 722 2422796 Martirosyan-Colbourn 724 2549296 Martirosyan-Colbourn 729 2621352 perfect hash family8,729,81 790 2675032 Power N-CT79^2T69 869 2703701 Power N-CT79^2T68 948 2719351 Power N-CT79^2T67 1027 2739214 Power N-CT79^2T66 1106 2739519 Power N-CT79^2T65 1185 2739544 Power N-CT79^2T64 1264 2740066 Power N-CT79^2T63 1343 2740123 Power N-CT79^2T62 1422 2747223 Power N-CT79^2T61 1501 2782939 Power N-CT79^2T60 1580 2795589 Power N-CT79^2T59 1659 2852485 Power N-CT79^2T58 1738 2888255 Power N-CT79^2T57 1817 2893656 Power N-CT79^2T56 1896 2894178 Power N-CT79^2T55 1975 2896923 Power N-CT79^2T54 2054 2904919 Power N-CT79^2T53 2844 2916254 Power N-CT79^2T43 6243 2949021 Power N-CT79^2+2 6244 3192005 Add 1 factors 6245 3295941 Add 2 factors 6246 3324613 Add 3 factors 6251 3353285 Add 8 factors 6252 3510909 Add 9 factors 6561 3604359 Power CT81^2 6562 3852047 Add 1 factors 6563 3951141 Power N-CT83^2Arc(4) 8322 3963924 Martirosyan-Colbourn 8323 4224156 Add 1 factors 8324 4337052 Add 2 factors 8325 4365724 Add 3 factors 8330 4394396 Add 8 factors 8331 4560948 Add 9 factors 8332 4767524 Add 8 factors 8333 4796196 Add 8 factors 8338 4824868 Add 8 factors 8339 4991420 Add 9 factors 9344 5116533 Martirosyan-TVT 9345 5168501 Martirosyan-TVT variant 10000 5220469 Martirosyan-TVT

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